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Simplifying 3k + -8(k + 2) = 0 Reorder the terms: 3k + -8(2 + k) = 0 3k + (2 * -8 + k * -8) = 0 3k + (-16 + -8k) = 0 Reorder the terms: -16 + 3k + -8k = 0 Combine like terms: 3k + -8k = -5k -16 + -5k = 0 Solving -16 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5k = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5k = 0 + 16 -5k = 0 + 16 Combine like terms: 0 + 16 = 16 -5k = 16 Divide each side by '-5'. k = -3.2 Simplifying k = -3.2
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